次线性期望空间下END序列加权和的完全收敛性  

Complete convergence of weighted sums for END sequence under sub-linear expectation space

作　　者：嘉程程 吴群英[1] JIA Cheng-cheng;WU Qun-ying(College of Science,Guilin University of Technology,Guilin 541004,Guangxi,China)

机构地区：[1]桂林理工大学理学院,广西桂林541004

出　　处：《山东大学学报（理学版）》2022年第10期79-87,共9页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12061028)。

摘　　要：以次线性期望空间下的指数不等式为研究工具,在1/α+1/β=1/p,C_(V)(|X|^(rp))<∞的条件下,根据此指数不等式,将传统概率空间中随机变量序列加权和的完全收敛性,推至次线性期望空间。Using the exponential inequality in the sub-linear expectation space as a research tool, under the condition of 1/α+1/β=1/p,C_(V)(|X|^(rp))<∞, according to this exponential inequality, the complete convergence of the weighted sum of random variable sequences in the traditional probability space is extended to the sublinear expectation space.

关 键 词：次线性期望空间 完全收敛性 END序列 

分 类 号：O211.4[理学—概率论与数理统计]